404421600 has 144 divisors (see below), whose sum is σ = 1436158080. Its totient is φ = 98035200.

The previous prime is 404421541. The next prime is 404421623. The reversal of 404421600 is 6124404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18741 + ... + 34059.

It is an arithmetic number, because the mean of its divisors is an integer number (9973320).

Almost surely, 2^404421600 is an apocalyptic number.

404421600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718079040).

404421600 is an abundant number, since it is smaller than the sum of its proper divisors (1031736480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404421600 is a wasteful number, since it uses less digits than its factorization.

404421600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15353 (or 15340 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 404421600 is about 20110.2361995080. The cubic root of 404421600 is about 739.5112428752.

The spelling of 404421600 in words is "four hundred four million, four hundred twenty-one thousand, six hundred".